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Beans-hdu-2845

 
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Beans

Time Limit: 2000/1000 MS (Java/Others)Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1977Accepted Submission(s): 997


Problem Description
Bean-eating is an interesting game, everyone owns an M*N matrix, which is filled with different qualities beans. Meantime, there is only one bean in any 1*1 grid. Now you want to eat the beans and collect the qualities, but everyone must obey by the following rules: if you eat the bean at the coordinate(x, y), you can’t eat the beans anyway at the coordinates listed (if exiting): (x, y-1), (x, y+1), and the both rows whose abscissas are x-1 and x+1.


Now, how much qualities can you eat and then get ?

Input
There are a few cases. In each case, there are two integer M (row number) and N (column number). The next M lines each contain N integers, representing the qualities of the beans. We can make sure that the quality of bean isn't beyond 1000, and 1<=M*N<=200000.

Output
For each case, you just output the MAX qualities you can eat and then get.

Sample Input
4 6 11 0 7 5 13 9 78 4 81 6 22 4 1 40 9 34 16 10 11 22 0 33 39 6

Sample Output
242

重点:横竖分别求一下不连续的最大子段和;



#include <iostream>
using namespace std;
int beans[100][100],line[100],row[100];
int main() {
	int m,n;
	while(cin >> m >> n){
		for(int i=0; i<m; i++){
			cin >> beans[i][0] >> beans[i][1];
			row[0] = beans[i][0];
			row[1] = beans[i][1];
			int tmpmax = max(row[0],row[1]);
			row[1] = tmpmax;
			for(int j=2; j<n; j++){
				cin >> beans[i][j];
				row[j] = max(row[j-2] + beans[i][j], row[j-1]);
			}
			line[i] = row[n-1];
		}
		int ans = max(line[0],line[1]);
		line[1] = ans;
		for(int i=2; i<m; i++){
			line[i] = max(line[i-2] + line[i], line[i-1]);
//			if(ans < line[i])
//				ans = line[i];
		}
		cout << line[m-1]  << endl;

	}
	return 0;
}




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